An Introduction to Topology and Knot Theory
Author:
Ja'faruddin
ISBN:
Currently in the process of applying for an ISBN
Year:
2026
Description:
An Introduction to Topology and Knot Theory provides a systematic and accessible introduction to the fundamental concepts of topology and knot theory. The book begins by exploring the nature of topology, topological spaces, and basic mathematical language such as sets, subsets, unions, and intersections, which form the foundation for understanding topological structures. It then introduces essential concepts including open and closed sets, interior, closure, boundary, continuous functions, and homeomorphisms as central ideas in modern topology.
The book also discusses classical examples such as the Königsberg Bridge Problem and Euler’s Theorem to demonstrate how topology can be applied to mathematical problem solving. In the final chapters, the discussion focuses on knot theory, including knot invariants, tricolorability, and important knot polynomials such as the Alexander Polynomial, Conway Polynomial, and Jones Polynomial. Written with an intuitive, visual, and step-by-step approach, this book is suitable for students, lecturers, and mathematics enthusiasts who wish to develop a conceptual and practical understanding of topology and knot theory.
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